This theorem was extended to unbounded operators by Avron, Seiler, and Yaffe and to a segment of that operator's spectrum, rather than an isolated eigenvalue, by Nenciu. This theorem gives a small error term given by the exponential of negative 2pi times lambda, where lambda is a squared over h-bar times the magnitude of alpha and a is the half-distance between the unperturbed energies at the avoided crossing; that is the Lander-Zener formula and gives the probability of transitions not of this type. This theorem holds that the eigenstates of a quantum harmonic oscillator can change in time as the spring constant varies slowly. For 10 points, name this theorem of quantum mechanics that shares its name with a term describing processes in which monatomic ideal gases change such that pressure times volume to the five
This theorem was extended to unbounded operators by Avron, Seiler, and Yaffe and to a segment of that operator's spectrum, rather than an isolated eigenvalue, by Nenciu. This theorem gives a small error term given by the exponential of negative 2pi times lambda, where lambda is a squared over h-bar times the magnitude of alpha and a is the half-distance between the unperturbed energies at the avoided crossing; that is the Lander-Zener formula and gives the probability of transitions not of this type. This theorem holds that the eigenstates of a quantum harmonic oscillator can change in time as the spring constant varies slowly. For 10 points, name this theorem of quantum mechanics that shares its name with a term describing processes in which monatomic ideal gases change such that pressure times volume to the five-thirds is constant, those with no heat transfer.
This theorem was extended to unbounded operators by Avron, Seiler, and Yaffe and to a segment of that operator's spectrum, rather than an isolated eigenvalue, by Nenciu.
{adiabatic} theorem